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Bài 1:
\(101\cdot125+101\cdot25-101\cdot50\)
\(=101\cdot\left(125+25-50\right)\)
\(=101\cdot100\)
\(=10100\)
Bài 2:
\(76\cdot115+56\cdot24+59\cdot24\)
\(=76\cdot115+24\cdot\left(56+59\right)\)
\(=76\cdot115+24\cdot115\)
\(=115\cdot\left(76+24\right)\)
\(=115\cdot100\)
\(=11500\)
Bài 2:
a: \(\Leftrightarrow x-1\in\left\{1;-1;2;-2;3;-3;6;-6\right\}\)
=>\(x\in\left\{2;0;3;-1;4;-2;7;-5\right\}\)
b: \(\Leftrightarrow x+3\in\left\{1;-1;3;-3;5;-5;15;-15\right\}\)
=>\(x\in\left\{-2;-4;0;-6;2;-8;12;-18\right\}\)
c: \(\Leftrightarrow x+3\in\left\{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12\right\}\)
=>\(x\in\left\{-2;-4;-1;-5;0;-6;1;-7;3;-9;9;-15\right\}\)
d: =>x+1+15 chia hết cho x+1
=>\(x+1\in\left\{1;-1;3;-3;5;-5;15;-15\right\}\)
=>\(x\in\left\{0;-2;2;-4;4;-6;14;-16\right\}\)
1: \(\Leftrightarrow x=UCLN\left(24;36;150\right)=6\)
2: \(\Leftrightarrow x\in\left\{24;48;72;...\right\}\)
mà 16<=x<=50
nên \(x\in\left\{24;48\right\}\)
3: \(\Leftrightarrow x\inƯ\left(6\right)\)
mà x>-10
nên \(x\in\left\{1;-1;2;-2;3;-3;6;-6\right\}\)
4: \(\Leftrightarrow x\in BC\left(4;5;8\right)\)
\(\Leftrightarrow x\in\left\{...;-40;0;40;80;120;160;200;...\right\}\)
mà -20<x<180
nên \(x\in\left\{0;40;80;120;160\right\}\)
a: \(\dfrac{1}{8}< \dfrac{x}{40}< \dfrac{1}{5}\)
=>\(\dfrac{5}{40}< \dfrac{x}{40}< \dfrac{8}{40}\)
=>5<x<8
mà x nguyên
nên \(x\in\left\{6;7\right\}\)
b: \(\dfrac{-1}{8}< \dfrac{x}{72}< \dfrac{-1}{36}\)
=>\(\dfrac{-9}{72}< \dfrac{x}{72}< \dfrac{-2}{72}\)
=>-9<x<-2
mà x nguyên
nên \(x\in\left\{-8;-7;-6;-5;-4;-3\right\}\)
a, (x + 30) – 75 = 125
=> x + 30 = 125 + 75 = 200
=> x = 200 – 30
=> x = 170
Vậy x = 170
b, x – 72 : 36 = 18
=> x – 2 = 18
=> x = 18 + 2 = 20
Vậy x = 20
c, x – 17 = 54
=> x = 54 +17
=> x = 71.
Vậy x = 71
d, 36 – (x – 2) = 12
=> x – 2 = 36 – 12
=> x = 24 + 2 = 26
Vậy x = 26
e, 9x – 7 = 837
=>9x = 837 + 7 = 844
=> x = 844 9
Vậy x = 844 9
f, (x – 15) – 107 = 0
=> x – 15 = 107
=> x = 107 +15
=> x = 122.
Vậy x = 122
g, 134 + (116 – x) = 145
=> 116 – x = 145 – 134
=> x = 116 – 11
=> x = 5.
Vậy x = 5
Bài 4:
a: =>7/x-5=2
=>x-5=7/2
=>x=17/2
b: =>1-2x=-5
=>2x=6
=>x=3
c: =>2x-3=5 hoặc 2x-3=-5
=>2x=8 hoặc 2x=-2
=>x=-1 hoặc x=4
d: =>2(x+1)^2+17=21
=>2(x+1)^2=4
=>(x+1)^2=2
=>\(x+1=\pm\sqrt{2}\)
=>\(x=\pm\sqrt{2}-1\)
Mik thấy đề hơi khó hiểu
b: \(72⋮x\)
\(90⋮x\)
Do đó: \(x\inƯC\left(72;90\right)\)
\(\Leftrightarrow x\inƯ\left(18\right)\)
\(\Leftrightarrow x\in\left\{1;2;3;6;9;18\right\}\)
hay \(x\in\left\{1;2;3;6\right\}\)